Lambert grew up a huge Reds fan.
"I am still pinching myself," Lambert said. "I am really enjoying the season.
"Obviously there have been some lows but the highs have been unbelievable and I am confident there are plenty more to come in my career, hopefully at Southampton.
"It is going really well but we're still not safe, there are still points to be taken, but the lads are absolutely buzzing after that result.
"I think everybody knows the relationship I have with Liverpool.
"It was a massive game and my family were there, but obviously I am professional and my main focus was to try and get three points.
"I am just over the moon that my goal helped get three points."